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Finding the Fourth Proportional to 92.75, 128.03 and 61.66

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Solution

The fourth proportional to 92.75, 128.03 and 61.66 is: 85.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.75 : 128.03 = 61.66 : x
  2. Step 2: Convert to fraction form
    92.75/128.03 = 61.66/x
  3. Step 3: Cross multiply
    92.75x = 128.03 × 61.66
  4. Step 4: Simplify right side
    92.75x = 7,894.33
  5. Step 5: Solve for x
    x = 7,894.33/92.75
  6. Step 6: Final answer
    x = 85.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.